Algebraic lattice codes achieve the capacity of the compound block-fading channel
Antonio C. de A. Campello, Cong Ling, Jean‐Claude Belfiore · 2016
We propose a lattice coding scheme that achieves the capacity of the compound block-fading channel. Our lattice construction exploits the multiplicative structure of number fields and their group of units to absorb ill-conditioned channel realizations. To shape the constellation, a discrete Gaussian distribution over the lattice points is applied. A by-product of our results is a refined analysis of the probability of error of the lattice Gaussian distribution in the AWGN channel.